Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
# | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
---|---|---|---|---|---|---|---|---|---|
58528 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{6}$ | 1.4437 | 1.6353 | 0.8828 | [X:[1.3333], M:[0.9346], q:[0.488, 0.4226], qb:[0.5774, 0.512], phi:[0.3333]] | [X:[[0]], M:[[3]], q:[[-2], [1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 4 | 2*t^2.8 + 3*t^3. + t^3.8 + 3*t^4. + t^4.2 + t^4.8 + 3*t^5. + 2*t^5.2 + 3*t^5.61 + 5*t^5.8 + 4*t^6. - t^6.2 + 2*t^6.61 + 9*t^6.8 + 9*t^7. + t^7.2 + t^7.39 + 4*t^7.61 + 8*t^7.8 + 12*t^8. + 4*t^8.2 + 4*t^8.41 + 7*t^8.61 + 7*t^8.8 - t^4./y - t^5./y - (2*t^6.8)/y - (3*t^7.)/y - (2*t^7.8)/y - (3*t^8.)/y + t^8.61/y + (5*t^8.8)/y - t^4.*y - t^5.*y - 2*t^6.8*y - 3*t^7.*y - 2*t^7.8*y - 3*t^8.*y + t^8.61*y + 5*t^8.8*y | 2*g1^3*t^2.8 + 3*t^3. + g1^3*t^3.8 + 3*t^4. + t^4.2/g1^3 + g1^3*t^4.8 + 3*t^5. + (2*t^5.2)/g1^3 + 3*g1^6*t^5.61 + 5*g1^3*t^5.8 + 4*t^6. - t^6.2/g1^3 + 2*g1^6*t^6.61 + 9*g1^3*t^6.8 + 9*t^7. + t^7.2/g1^3 + t^7.39/g1^6 + 4*g1^6*t^7.61 + 8*g1^3*t^7.8 + 12*t^8. + (4*t^8.2)/g1^3 + 4*g1^9*t^8.41 + 7*g1^6*t^8.61 + 7*g1^3*t^8.8 - t^4./y - t^5./y - (2*g1^3*t^6.8)/y - (3*t^7.)/y - (2*g1^3*t^7.8)/y - (3*t^8.)/y + (g1^6*t^8.61)/y + (5*g1^3*t^8.8)/y - t^4.*y - t^5.*y - 2*g1^3*t^6.8*y - 3*t^7.*y - 2*g1^3*t^7.8*y - 3*t^8.*y + g1^6*t^8.61*y + 5*g1^3*t^8.8*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
# | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|
61195 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{6}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4635 | 1.6719 | 0.8754 | [X:[1.3333], M:[0.9444, 0.7222], q:[0.4815, 0.4259], qb:[0.5741, 0.5185], phi:[0.3333]] | t^2.17 + 2*t^2.83 + 3*t^3. + 3*t^4. + t^4.17 + t^4.33 + t^4.83 + 5*t^5. + 5*t^5.17 + 3*t^5.67 + 5*t^5.83 + 4*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | {a: 281/192, c: 107/64, X1: 4/3, M1: 17/18, M2: 13/18, q1: 13/27, q2: 23/54, qb1: 31/54, qb2: 14/27, phi1: 1/3} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
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Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
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Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
# | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
---|---|---|---|---|---|---|---|---|---|
57394 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | 1.4491 | 1.6312 | 0.8884 | [X:[1.3648], M:[0.8988], q:[0.5224, 0.4683], qb:[0.5788, 0.5247], phi:[0.3176]] | t^2.696 + t^2.859 + t^2.979 + 2*t^3.141 + t^3.932 + 3*t^4.094 + t^4.257 + t^4.885 + 2*t^5.047 + t^5.209 + t^5.33 + t^5.393 + t^5.492 + t^5.555 + t^5.675 + t^5.717 + 2*t^5.838 + t^5.958 - t^6. - t^3.953/y - t^4.906/y - t^3.953*y - t^4.906*y | detail |